Measurement Process Characterization_6 potx

Measurement Process Characterization2.3.. Catalog of calibration designs 2.3.4.2.. Drift-elimination designs for gage blocks 2.3.4.2.8... Measurement Process Characterization2.3.. Catalo

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2.3.4.2.3 Doiron 4-8 Design

Doiron 4-8 Design

OBSERVATIONS 1 1 1 1 Y(1) + -

Y(2) + -

Y(3) - +

Y(4) + -

Y(5) - +

Y(6) - +

Y(7) + -

Y(8) - +

RESTRAINT +

CHECK STANDARD +

DEGREES OF FREEDOM = 5 SOLUTION MATRIX DIVISOR = 8 OBSERVATIONS 1 1 1 1

Y(1) 0 -3 -2 -1

Y(2) 0 1 2 -1

Y(3) 0 1 2 3

Y(4) 0 1 -2 -1

Y(5) 0 3 2 1

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Y(6) 0 -1 -2 1

Y(7) 0 -1 -2 -3

Y(8) 0 -1 2 1

R* 8 8 8 8

R* = Value of the reference standard FACTORS FOR REPEATABILITY STANDARD DEVIATIONS NOM FACTOR 1 1 1 1 1 0.0000 +

1 0.6124 +

1 0.7071 +

1 0.6124 +

Explanation of notation and interpretation of tables

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2.3.4.2.4 Doiron 4-12 Design

Doiron 4-12 Design

OBSERVATIONS 1 1 1 1 Y(1) + -

Y(2) + +

Y(3) + -

Y(4) - +

Y(5) + -

Y(6) - +

Y(7) + -

Y(8) + -

Y(9) + -

Y(10) - +

Y(11) - +

Y(12) - +

RESTRAINT +

CHECK STANDARD +

DEGREES OF FREEDOM = 9

SOLUTION MATRIX DIVISOR = 8 OBSERVATIONS 1 1 1 1

Y(1) 0 -2 -1 -1

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Y(2) 0 1 1 2

Y(3) 0 0 1 -1

Y(4) 0 2 1 1

Y(5) 0 1 -1 0

Y(6) 0 -1 0 1

Y(7) 0 -1 -2 -1

Y(8) 0 1 0 -1

Y(9) 0 -1 -1 -2

Y(10) 0 -1 1 0

Y(11) 0 1 2 1

Y(12) 0 0 -1 1

R* 6 6 6 4

R* = Value of the reference standard FACTORS FOR REPEATABILITY STANDARD DEVIATIONS NOM FACTOR 1 1 1 1 1 0.0000 +

1 0.5000 +

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2.3.4.2.5 Doiron 5-10 Design

Doiron 5-10 Design

OBSERVATIONS 1 1 1 1 1 Y(1) + -

Y(2) - +

Y(3) + -

Y(4) - +

Y(5) - +

Y(6) + -

Y(7) - +

Y(8) + -

Y(9) - +

Y(10) + -

RESTRAINT +

CHECK STANDARD +

SOLUTION MATRIX DIVISOR = 90 OBSERVATIONS 1 1 1 1 1

Y(1) 0 -50 -10 -10 -30

Y(2) 0 20 4 -14 30

Y(3) 0 -10 -29 -11 -15

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Y(4) 0 -20 5 5 15

Y(5) 0 0 -18 18 0

Y(6) 0 -10 -11 -29 -15

Y(7) 0 10 29 11 15

Y(8) 0 -20 14 -4 -30

Y(9) 0 10 11 29 15

Y(10) 0 20 -5 -5 -15

R* 90 90 90 90 90

R* = Value of the reference standard FACTORS FOR REPEATABILITY STANDARD DEVIATIONS NOM FACTOR 1 1 1 1 1 1 0.0000 +

1 0.7454 +

1 0.5676 +

1 0.7071 +

1 0.7454 +

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2.3.4.2.6 Doiron 6-12 Design

Doiron 6-12 Design

OBSERVATIONS 1 1 1 1 1 1 Y(1) + -

Y(2) - +

Y(3) - +

Y(4) - +

Y(5) - +

Y(6) + -

Y(7) + -

Y(8) + -

Y(9) + -

Y(10) - +

Y(11) + -

Y(12) - +

RESTRAINT +

CHECK STANDARD +

SOLUTION MATRIX DIVISOR = 360 OBSERVATIONS 1 1 1 1 1 1

Y(1) 0 -136 -96 -76 -72 -76

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Y(2) 0 -4 -24 -79 72 11

Y(3) 0 -20 -120 -35 0 55

Y(4) 0 4 24 -11 -72 79

Y(5) 0 -60 0 75 0 -15

Y(6) 0 20 120 -55 0 35

Y(7) 0 -76 -96 -61 -72 -151 Y(8) 0 64 24 4 -72 4

Y(9) 0 40 -120 -20 0 -20

Y(10) 0 72 72 72 144 72

Y(11) 0 60 0 15 0 -75

Y(12) 0 76 96 151 72 61

R* 360 360 360 360 360 360

R* = Value of the reference standard FACTORS FOR REPEATABILITY STANDARD DEVIATIONS NOM FACTOR 1 1 1 1 1 1 1 0.0000 +

1 0.6146 +

1 0.7746 +

1 0.6476 +

1 0.6325 +

1 0.6476 +

1 0.6146 +

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2.3.4.2.7 Doiron 7-14 Design

Doiron 7-14 Design

OBSERVATIONS 1 1 1 1 1 1 1 Y(1) + -

Y(2) - +

Y(3) + -

Y(4) + -

Y(5) + -

Y(6) - +

Y(7) + -

Y(8) + -

Y(9) + -

Y(10) - +

Y(11) - +

Y(12) - +

Y(13) - +

Y(14) - +

RESTRAINT +

CHECK STANDARD +

PARAMETER VALUES DIVISOR = 1015 OBSERVATIONS 1 1 1 1 1 1

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Y(1) 0 -406 -203 -203 -203 -203 -203

Y(2) 0 0 -35 -210 35 210 0

Y(3) 0 0 175 35 -175 -35 0

Y(4) 0 203 -116 29 -116 29 -261

Y(5) 0 -203 -229 -214 -264 -424 -174

Y(6) 0 0 -175 -35 175 35 0

Y(7) 0 203 -61 -221 -26 -11 29

Y(8) 0 0 305 90 130 55 -145

Y(9) 0 0 220 15 360 -160 145

Y(10) 0 203 319 174 319 174 464

Y(11) 0 -203 26 11 61 221 -29

Y(12) 0 0 -360 160 -220 -15 -145

Y(13) 0 203 264 424 229 214 174

Y(14) 0 0 -130 -55 -305 -90 145

R* 1015 1015 1015 1015 1015 1015 1015

R* = Value of the reference standard

FACTORS FOR REPEATABILITY STANDARD DEVIATIONS

NOM FACTOR

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2 Measurement Process Characterization

2.3 Calibration

2.3.4 Catalog of calibration designs

2.3.4.2 Drift-elimination designs for gage blocks

2.3.4.2.8 Doiron 8-16 Design

Doiron 8-16 Design

OBSERVATIONS 1 1 1 1 1 1 1 1

Y(1) + -

Y(2) + -

Y(3) - +

Y(4) - +

Y(5) + -

Y(6) - +

Y(7) - +

Y(8) - +

Y(9) - +

Y(10) - +

Y(11) + -

Y(12) - +

Y(13) - +

Y(14) - +

Y(15) + -

Y(16) + -

RESTRAINT +

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864 289

Y(4) 0 516 992 470 1396 706

748 610

Y(5) 0 -356 620 35 286 -979 -96 -349

Y(6) 0 92 0 23 -138 253 -552 667

Y(7) 0 -148 -992 335 -522 -407 -104 -81

Y(16) 0 568 -124 -168 -232 136 -680 -36

R* 2852 2852 2852 2852 2852 2852

2852 2852

R* = value of reference block

WT FACTOR

1 1 1 1 1 1 1 1

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1 0.0000 +

1 0.6986 +

1 0.7518 +

1 0.5787 +

1 0.6996 +

1 0.8313 +

1 0.7262 +

1 0.7534 +

1 0.6986 +

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2.3.4.2.9 Doiron 9-18 Design

Doiron 9-18 Design

OBSERVATIONS 1 1 1 1 1 1 1 1 1

Y(1) + -

Y(2) - +

Y(3) + -

Y(4) - +

Y(5) + -

Y(6) - +

Y(7) + -

Y(8) + -

Y(9) - +

Y(10) + -

Y(11) - +

Y(12) - +

Y(13) - +

Y(14) + -

Y(15) - +

Y(16) + -

Y(17) - +

Y(18) + -

RESTRAINT +

CHECK STANDARD +

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Y(2) 0 -696 -1422 -681 -1029 -984 -2586 -849 1203

Y(3) 0 1375 -3139 196 -491 -1279 -1266 -894 -540

Y(4) 0 -909 -222 -1707 1962 -432

675 633 327

Y(5) 0 619 1004 736 -329 2771 -378 -1674 -513

Y(6) 0 -1596 -417 1140 342 303

42 186 57

Y(7) 0 955 2828 496 -401 971 -1689 -411 -525

Y(15) 0 175 950 -125 -1412 437

2238 486 681

Y(16) 0 -654 -1194 -711 -1038 -1209

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1 0.6495 +

1 0.8102 +

1 0.7225 +

1 0.7235 +

1 0.5952 +

1 0.6680 +

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2 Measurement Process Characterization

2.3 Calibration

2.3.4 Catalog of calibration designs

2.3.4.2 Drift-elimination designs for gage blocks

2.3.4.2.10 Doiron 10-20 Design

Doiron 10-20 Design

OBSERVATIONS 1 1 1 1 1 1 1 1 1 1 Y(1) + -

Y(2) + -

Y(3) - +

Y(4) + -

Y(5) + -

Y(6) + -

Y(7) + -

Y(8) - +

Y(9) + -

Y(10) + -

Y(11) + -

Y(12) + -

Y(13) + -

Y(14) - +

Y(15) + -

Y(16) + -

Y(17) - +

Y(18) + -

Y(19) - +

Y(20) - +

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-7770 -6510 -9240

Y(2) 0 1260 1594 1716 3566 3470

9078 -5678 -24

Y(3) 0 -960 -2856 -7344 -2664 -1320 -1992 -1128 336

Y(4) 0 -3600 -1536 816 5856 -9120 -1632 -1728 -3744

Y(5) 0 6060 306 -1596 -906 -1050 -978 -2262 -8376

Y(10) 0 3660 1506 -3276 774 3990

2382 3258 9144

Y(11) 0 -1800 -3548 408 5708 -1780 -9156 -3644 -1872

Y(12) 0 6270 -9251 -3534 -1609 455 -3357 -3023 516

Y(13) 0 960 2856 7344 2664 1320

1992 1128 -336

Y(14) 0 -330 -391 186 -2549 -7925 -2457 1037 6996

Y(15) 0 2520 8748 3432 1572 1380

1476 -5796 -48

Y(16) 0 -5970 -7579 -8766 -15281 -9425 -9573 -6007 -6876

Y(17) 0 -1260 -7154 -1716 1994 2090

7602 118 24

Y(18) 0 570 2495 9990 -6515 -1475 -1215 635 1260

Y(19) 0 6510 9533 6642 6007 7735

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9651 15329 8772

Y(20) 0 -5730 85 1410 3455 8975

3435 1225 1380

R* 33360 33360 33360 33360 33360 33360

33360 33360 33360

R* = Value of the reference standard

NOM FACTOR

1 1 1 1 1 1 1 1 1 1

1 0.0000 +

1 0.6772 +

1 0.7403 +

1 0.7498 +

1 0.6768 +

1 0.7456 +

1 0.7493 +

1 0.6779 +

1 0.7267 +

1 0.6961 +

1 0.6772 +

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2.3.4.2.11 Doiron 11-22 Design

Doiron 11-22 Design

OBSERVATIONS 1 1 1 1 1 1 1 1 1 1 1 Y(1) + -

Y(2) + -

Y(3) + -

Y(4) + -

Y(5) + -

Y(6) + -

Y(7) - +

Y(8) - +

Y(9) + -

Y(10) + -

Y(11) + -

Y(12) - +

Y(13) + -

Y(14) - +

Y(15) + -

Y(16) + -

Y(17) + -

Y(18) - +

Y(19) + -

Y(20) - +

Y(21) - +

Y(22) + -

RESTRAINT +

CHECK STANDARD +

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Y(5) 0 8360 -18373 -8476 -3240 -3287 -8075 -1197 -9443 -1833 -2848

Y(6) 0 -6908 -7923 -9807 -2668 431 -4753 -1296 -10224 9145 -18413

Y(7) 0 1716 3084 6091 404 -2452 -10544 -2023 15073 332 5803

Y(11) 0 11286 1729 -271 -4374 -3041 -3919-14184 -180 -3871 1741

Y(12) 0 -3608 -13906 -4734 62 2942 11102

2040 -2526 604 -2566

Y(13) 0 -6006 -10794 -7354 -1414 8582 -18954 -6884 -10862 -1162 -6346

Y(14) 0 -9460 1748 6785 2330 2450 2790

85 6877 4680 16185

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R* = Value of the reference standard FACTORS FOR REPEATABILITY STANDARD DEVIATIONS NOM FACTOR 1 1 1 1 1 1 1 1 1 1 1 1 0.0000 +

1 0.6920 +

1 0.8113 +

1 0.8013 +

1 0.6620 +

1 0.6498 +

1 0.7797 +

1 0.7286 +

1 0.8301 +

1 0.6583 +

1 0.6920 +

Tiêu đề	Measurement Process Characterization
Trường học	National Institute of Standards and Technology
Chuyên ngành	Measurement Process Characterization
Thể loại	Bài báo
Năm xuất bản	2006
Thành phố	Gaithersburg

Định dạng
Số trang	31
Dung lượng	1,42 MB